413593040 has 80 divisors (see below), whose sum is σ = 1101893760. Its totient is φ = 141427200.

The previous prime is 413592989. The next prime is 413593097. The reversal of 413593040 is 40395314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 413592994 and 413593012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284315 + ... + 285765.

It is an arithmetic number, because the mean of its divisors is an integer number (13773672).

Almost surely, 2^413593040 is an apocalyptic number.

413593040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550946880).

413593040 is an abundant number, since it is smaller than the sum of its proper divisors (688300720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413593040 is a wasteful number, since it uses less digits than its factorization.

413593040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 413593040 is about 20336.9869941444. The cubic root of 413593040 is about 745.0597012349.

The spelling of 413593040 in words is "four hundred thirteen million, five hundred ninety-three thousand, forty".